| Title:
|
Further results on the asymptotic behavior of solutions for neutral differential equations (English) |
| Author:
|
Alsharif, Nour H. M. |
| Author:
|
Karpuz, Başak |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
151 |
| Issue:
|
4 |
| Year:
|
2026 |
| Pages:
|
619-633 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper focuses on the uniform stability of the zero solution and the asymptotic behavior of all solutions in the context of the neutral differential equation $$ \frac {\mathrm{d} }{\mathrm{d} t}[x(t)-px(t-\tau )]+q(t)x(t-\sigma )=0\quad \text {for}\ t\geq t_{0}, $$ where $\tau ,\sigma \in \mathbb{R} ^{+}$, $p\in [0,1)$ and $q\in {{\rm C}^{\#1}} ([t_{0},\infty ),\mathbb{R} _{0}^{+})$. These results differ from most of the existing results in that our results extend to include values of $p\in [\frac {1}{2},1)$ for $(\star )$. Besides, the practical applicability of the given results is shown by a numerical example. (English) |
| Keyword:
|
neutral differential equation |
| Keyword:
|
uniform stability |
| Keyword:
|
globally attractivity |
| Keyword:
|
globally asymptotic stability |
| MSC:
|
34K20 |
| MSC:
|
34K25 |
| MSC:
|
34K40 |
| DOI:
|
10.21136/MB.2025.0141-24 |
| . |
| Date available:
|
2026-09-23T08:24:49Z |
| Last updated:
|
2026-09-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153770 |
| . |
| Reference:
|
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| Reference:
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